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|Centuries:||8th century – 9th century – 10th century|
|Decades:||810s 820s 830s – 840s – 850s 860s 870s|
|Years:||842 843 844 – 845 – 846 847 848|
|845 by topic|
|State leaders – Sovereign states|
|Birth and death categories|
|Births – Deaths|
|Establishment and disestablishment categories|
|Establishments – Disestablishments|
|Ab urbe condita||1598|
|Bahá'í calendar||-999 – -998|
|English Regnal year||N/A|
|Chinese calendar||甲子年 (Wood Rat)
3541 or 3481
— to —
乙丑年 (Wood Ox)
3542 or 3482
|- Vikram Samvat||901–902|
|- Shaka Samvat||767–768|
|- Kali Yuga||3946–3947|
|Igbo calendar||-155 – -154|
|Japanese calendar||Jōwa 12
|Minguo calendar||1067 before ROC
|Thai solar calendar||1388|
|Wikimedia Commons has media related to 845.|
- March 28 or 29 (Easter) – Siege of Paris ends when Paris is sacked by a Viking raiding fleet, probably under Ragnar Lodbrok, who collect a huge ransom in exchange for leaving. The Vikings also sack Hamburg and Melun.
- November 22 – Count of Vannes, Nominoe, defeats the king of Francia Charles the Bald at the battle of Ballon near Redon. No more toll is taken on Brittany, and it becomes an independent state lasting for seven centuries.
- Persecution of Buddhists is started in China. More than 4,600 monasteries and 40,000 temples and shrines are destroyed. More than 260,000 Buddhist monks and nuns are forced to return to secular life.
- September 16: Prisoner exchange between the Byzantine Empire and the Abbasid Caliphate at the river Lamos.